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Finding the Third Proportional to 382,927.50 and 814,279.50

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Solution

The third proportional to 382,927.50 and 814,279.50 is: 1,731,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,927.50 : 814,279.50 = 814,279.50 : x
  2. Step 2: Convert to fraction form
    382,927.50/814,279.50 = 814,279.50/x
  3. Step 3: Cross multiply
    382,927.50x = 814,279.50 × 814,279.50
  4. Step 4: Simplify right side
    382,927.50x = 663,051,104,120.25
  5. Step 5: Solve for x
    x = 663,051,104,120.25/382,927.50
  6. Step 6: Final answer
    x = 1,731,531.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.